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Finding the Third Proportional to 31,036.50 and 54,040.50

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Solution

The third proportional to 31,036.50 and 54,040.50 is: 94,094.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,036.50 : 54,040.50 = 54,040.50 : x
  2. Step 2: Convert to fraction form
    31,036.50/54,040.50 = 54,040.50/x
  3. Step 3: Cross multiply
    31,036.50x = 54,040.50 × 54,040.50
  4. Step 4: Simplify right side
    31,036.50x = 2,920,375,640.25
  5. Step 5: Solve for x
    x = 2,920,375,640.25/31,036.50
  6. Step 6: Final answer
    x = 94,094.88

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.